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http://hdl.handle.net/1942/17233
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Zhu, Can | - |
dc.contributor.author | Van Oystaeyen, Fred | - |
dc.contributor.author | ZHANG, Yinhuo | - |
dc.date.accessioned | 2014-10-08T10:22:37Z | - |
dc.date.available | 2014-10-08T10:22:37Z | - |
dc.date.issued | 2014 | - |
dc.identifier.citation | Journal of K-Theory, 14 (2), p. 371-386 | - |
dc.identifier.issn | 1865-2433 | - |
dc.identifier.uri | http://hdl.handle.net/1942/17233 | - |
dc.description.abstract | In this paper, we study Poisson (co)homology of a Frobenius Poisson algebra. More precisely, we show that there exists a duality between Poisson homology and Poisson cohomology of Frobenius Poisson algebras, similar to that between Hochschild homology and Hochschild cohomology of Frobenius algebras. Then we use the non-degenerate bilinear form on a unimodular Frobenius Poisson algebra to construct a Batalin-Vilkovisky structure on the Poisson cohomology ring making it into a Batalin-Vilkovisky algebra. | - |
dc.description.sponsorship | FWO | - |
dc.language.iso | en | - |
dc.rights | Copyright © ISOPP 2014. | - |
dc.subject.other | Poisson algebra; Frobenius algebra; Poisson (co)homology; duality; BV algebra. | - |
dc.title | On (co)homology of Frobenius Poisson algebras | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 386 | - |
dc.identifier.issue | 2 | - |
dc.identifier.spage | 371 | - |
dc.identifier.volume | 14 | - |
local.bibliographicCitation.jcat | A1 | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.identifier.doi | 10.1017/is014007026jkt276 | - |
dc.identifier.url | http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=9363554&fulltextType=RA&fileId=S1865243314000312 | - |
item.fullcitation | Zhu, Can; Van Oystaeyen, Fred & ZHANG, Yinhuo (2014) On (co)homology of Frobenius Poisson algebras. In: Journal of K-Theory, 14 (2), p. 371-386. | - |
item.accessRights | Restricted Access | - |
item.fulltext | With Fulltext | - |
item.contributor | Zhu, Can | - |
item.contributor | Van Oystaeyen, Fred | - |
item.contributor | ZHANG, Yinhuo | - |
crisitem.journal.issn | 1865-2433 | - |
Appears in Collections: | Research publications |
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File | Description | Size | Format | |
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On (co)homology of Frobenius Poisson algebras.pdf Restricted Access | Published version | 153.02 kB | Adobe PDF | View/Open Request a copy |
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